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The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations. (English) Zbl 1118.81480
Summary: The periodic wave solutions for a class of nonlinear partial differential equations, including the Davey-Stewartson equations and the generalized Zakharov equations, are obtained by using the $F$-expansion method, which can be regarded as an overall generalization of the Jacobi elliptic function expansion method recently proposed. In the limit cases the solitary wave solutions of the equations are also obtained.

35Q55NLS-like (nonlinear Schrödinger) equations
35B10Periodic solutions of PDE
35Q51Soliton-like equations
Full Text: DOI
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